The average homeowner in Florida pays $150 per month on their energy bills. Some homeowners choose to install solar panels to reduce their monthly energy costs to an average of $55 per month. The cost of purchasing and installing solar panels is $13,250 on average.

Determine how many months it would take for the total cost of energy bills without solar panels to equal the cost of energy bills with solar panels.

The savings per month from using solar panels instead of traditional energy sources amounts to $95. Given the cost of solar panels at $13,250, it would take approximately 140 months for the total cost of energy without solar panels to be equivalent to the cost with solar panels.

Explanation:

The subject of this question is a practical arithmetic problem based on the real-life situation of the cost savings associated with solar panels versus traditional energy sources. Let's start by understanding the savings per month when using solar panels. The average monthly energy bill is $150, and this drops to $55 if solar panels are used. The difference, $150 - $55, shows a saving of $95 per month with solar panels.

The cost of installing solar panels is $13,250, and we want to find out how many months it would take for this cost to equal the amount saved by using solar panels instead of traditional energy sources. Essentially, it's asking how long it will take for the solar panels to 'pay for themselves'. We find this by dividing the total cost of the solar panels by the amount saved per month: $13,250 ÷ $95 ≈ 139.47 months.

Therefore, it would take approximately 140 months (after rounding up since you can't account for part of a month in this context) for the total cost of energy bills without solar panels to cost the same as the energy bill with solar panels.

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